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Mnenie [13.5K]
3 years ago
7

In the number 57.117 the 1

Mathematics
1 answer:
Romashka [77]3 years ago
3 0
The value of the one is 0.1 and 0.01.

Hope this helps :D
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40% discount is the answer to your question
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5. 5 sec2 0 = 6 sec o
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11.5 sec

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uppose that​ Mary's utility function is​ U(W) = W0.5​, where W is wealth. She has an initial wealth of​ $100. How much of a risk
Stels [109]

Note that U(W) = W^{0.5}

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function,  U(W) = W^{0.5}

Mary's initial wealth = $100

The gamble has a 50% probability of  raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, E_w

E_{w} = (0.5 * $115) + (0.5 * $77)

E_{w} = 57.5 + 38.5

E_{w} = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375

Mary's risk premium is $0.9375

7 0
3 years ago
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